What is the Least Common Multiple of 26928 and 26934?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 26928 and 26934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26928 and 26934, than apply into the LCM equation.

GCF(26928,26934) = 6
LCM(26928,26934) = ( 26928 × 26934) / 6
LCM(26928,26934) = 725278752 / 6
LCM(26928,26934) = 120879792

Least Common Multiple (LCM) of 26928 and 26934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26928 and 26934. First we will calculate the prime factors of 26928 and 26934.

Prime Factorization of 26928

Prime Factorization of 26934

Now multiplying the highest exponent prime factors to calculate the LCM of 26928 and 26934.

LCM(26928,26934) = 2⁴ × 3² × 11¹ × 17¹ × 67²
LCM(26928,26934) = 120879792